Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes
In this work, we introduce an alternativemethod of analysis in vortexmetrology based on the application of the Fourier optics techniques. The first part of the procedure is conducted as is usual in vortexmetrology for uniformin-plane displacement determination. On the basis of two recorded intensity...
- Autores:
-
Ángel Toro, Luciano
Sierra Sosa, Daniel
Tebaldy, Myrian
Bolognini, Néstor
Ángel Toro, Luciano
Sierra Sosa, Daniel
Tebaldy, Myrian
Bolognini, Néstor
- Tipo de recurso:
- Fecha de publicación:
- 2012
- Institución:
- Universidad EAFIT
- Repositorio:
- Repositorio EAFIT
- Idioma:
- eng
- OAI Identifier:
- oai:repository.eafit.edu.co:10784/1366
- Acceso en línea:
- http://hdl.handle.net/10784/1366
- Palabra clave:
- vortex metrology
Fourier optics
speckle
pseudophase
- Rights
- License
- Acceso abierto
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2014-03-07T20:43:20Z2012-10-192014-03-07T20:43:20ZLuciano Angel-Toro, Daniel Sierra-Sosa, Myrian Tebaldi, and Néstor Bolognini, "Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes," Appl. Opt. 51, 7411-7419 (2012) http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-30-74111559-128Xhttp://hdl.handle.net/10784/1366In this work, we introduce an alternativemethod of analysis in vortexmetrology based on the application of the Fourier optics techniques. The first part of the procedure is conducted as is usual in vortexmetrology for uniformin-plane displacement determination. On the basis of two recorded intensity speckled distributions, corresponding to two states of a diffuser coherently illuminated, we numerically generate an analytical signal fromeach recorded intensity pattern by using a version of the Riesz integral transform. Then, fromeach analytical signal, a two-dimensional pseudophase map is generated in which the vortices are located and characterized in terms of their topological charges and their core’s structural properties. The second part of the procedure allows obtaining Young’s interference fringes when Fourier transforming the light passing through a diffracting mask with multiple apertures at the locations of the homologous vortices. In fact, we use the Fourier transformas amathematical operation to compute the far-field diffraction intensity pattern corresponding to themultiaperture set. Each aperture fromthe set is associatedwith a rectangular hole that coincides both in shape and size with a pixel from recorded images.We show that the fringe analysis can be conducted as in speckle photography in an extended range of displacement measurements. Effects related with speckled decorrelation are also considered. Our experimental results agree with those of speckle photography in the range in which both techniques are applicable. © 2012 Optical Society of America OCIS codes: 050.4865, 030.6140.EAFIT universityengOSAGrupo de Investigación de Óptica AplicadaEscuela de Ciencias y HumanidadesApplied Optics, Vol. 51, Issue 30, pp. 7411-7419 (2012)http://dx.doi.org/10.1364/AO.51.007411Vortex metrology using Fourier analysis techniques: vortex networks correlation fringesinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/articlearticleinfo:eu-repo/semantics/publishedVersionpublishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Acceso abiertohttp://purl.org/coar/access_right/c_abf2vortex metrologyFourier opticsspecklepseudophaseUniversidad EAFIT. Departamento de Ciencias BásicasÁngel Toro, LucianoSierra Sosa, DanielTebaldy, MyrianBolognini, NéstorÁngel Toro, LucianoSierra Sosa, DanielTebaldy, MyrianBolognini, NéstorÓptica AplicadaApplied OpticsORIGINALL_Angel-Toro_Applied_Optics.pdfL_Angel-Toro_Applied_Optics.pdfapplication/pdf1334501https://repository.eafit.edu.co/bitstreams/58bcbe52-a090-423c-9b9a-ab6d12345258/downloada2beb920d193b0310209634dc40fbb0cMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81099https://repository.eafit.edu.co/bitstreams/cf7b3e9a-78d3-417d-82f3-036c774f2a3b/downloadad49d4642795b8563cc6cbddd66f666bMD5210784/1366oai:repository.eafit.edu.co:10784/13662021-09-24 16:32:50.331restrictedhttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.co |
dc.title.eng.fl_str_mv |
Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes |
title |
Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes |
spellingShingle |
Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes vortex metrology Fourier optics speckle pseudophase |
title_short |
Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes |
title_full |
Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes |
title_fullStr |
Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes |
title_full_unstemmed |
Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes |
title_sort |
Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes |
dc.creator.fl_str_mv |
Ángel Toro, Luciano Sierra Sosa, Daniel Tebaldy, Myrian Bolognini, Néstor Ángel Toro, Luciano Sierra Sosa, Daniel Tebaldy, Myrian Bolognini, Néstor |
dc.contributor.department.spa.fl_str_mv |
Universidad EAFIT. Departamento de Ciencias Básicas |
dc.contributor.author.spa.fl_str_mv |
Ángel Toro, Luciano Sierra Sosa, Daniel Tebaldy, Myrian Bolognini, Néstor |
dc.contributor.author.none.fl_str_mv |
Ángel Toro, Luciano Sierra Sosa, Daniel Tebaldy, Myrian Bolognini, Néstor |
dc.contributor.researchgroup.spa.fl_str_mv |
Óptica Aplicada |
dc.subject.keyword.eng.fl_str_mv |
vortex metrology Fourier optics speckle pseudophase |
topic |
vortex metrology Fourier optics speckle pseudophase |
description |
In this work, we introduce an alternativemethod of analysis in vortexmetrology based on the application of the Fourier optics techniques. The first part of the procedure is conducted as is usual in vortexmetrology for uniformin-plane displacement determination. On the basis of two recorded intensity speckled distributions, corresponding to two states of a diffuser coherently illuminated, we numerically generate an analytical signal fromeach recorded intensity pattern by using a version of the Riesz integral transform. Then, fromeach analytical signal, a two-dimensional pseudophase map is generated in which the vortices are located and characterized in terms of their topological charges and their core’s structural properties. The second part of the procedure allows obtaining Young’s interference fringes when Fourier transforming the light passing through a diffracting mask with multiple apertures at the locations of the homologous vortices. In fact, we use the Fourier transformas amathematical operation to compute the far-field diffraction intensity pattern corresponding to themultiaperture set. Each aperture fromthe set is associatedwith a rectangular hole that coincides both in shape and size with a pixel from recorded images.We show that the fringe analysis can be conducted as in speckle photography in an extended range of displacement measurements. Effects related with speckled decorrelation are also considered. Our experimental results agree with those of speckle photography in the range in which both techniques are applicable. © 2012 Optical Society of America OCIS codes: 050.4865, 030.6140. |
publishDate |
2012 |
dc.date.issued.none.fl_str_mv |
2012-10-19 |
dc.date.available.none.fl_str_mv |
2014-03-07T20:43:20Z |
dc.date.accessioned.none.fl_str_mv |
2014-03-07T20:43:20Z |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.eng.fl_str_mv |
info:eu-repo/semantics/article article info:eu-repo/semantics/publishedVersion publishedVersion |
dc.type.coarversion.fl_str_mv |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_6501 http://purl.org/coar/resource_type/c_2df8fbb1 |
dc.type.local.spa.fl_str_mv |
Artículo |
status_str |
publishedVersion |
dc.identifier.citation.spa.fl_str_mv |
Luciano Angel-Toro, Daniel Sierra-Sosa, Myrian Tebaldi, and Néstor Bolognini, "Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes," Appl. Opt. 51, 7411-7419 (2012) http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-30-7411 |
dc.identifier.issn.none.fl_str_mv |
1559-128X |
dc.identifier.uri.none.fl_str_mv |
http://hdl.handle.net/10784/1366 |
identifier_str_mv |
Luciano Angel-Toro, Daniel Sierra-Sosa, Myrian Tebaldi, and Néstor Bolognini, "Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes," Appl. Opt. 51, 7411-7419 (2012) http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-30-7411 1559-128X |
url |
http://hdl.handle.net/10784/1366 |
dc.language.iso.eng.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.eng.fl_str_mv |
Applied Optics, Vol. 51, Issue 30, pp. 7411-7419 (2012) |
dc.relation.uri.none.fl_str_mv |
http://dx.doi.org/10.1364/AO.51.007411 |
dc.rights.coar.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 |
dc.rights.local.spa.fl_str_mv |
Acceso abierto |
rights_invalid_str_mv |
Acceso abierto http://purl.org/coar/access_right/c_abf2 |
dc.publisher.none.fl_str_mv |
OSA |
dc.publisher.program.spa.fl_str_mv |
Grupo de Investigación de Óptica Aplicada |
dc.publisher.department.spa.fl_str_mv |
Escuela de Ciencias y Humanidades |
publisher.none.fl_str_mv |
OSA |
institution |
Universidad EAFIT |
bitstream.url.fl_str_mv |
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